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Finding the Fourth Proportional to 877.72, 1,309.17 and 826.96

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Solution

The fourth proportional to 877.72, 1,309.17 and 826.96 is: 1,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.72 : 1,309.17 = 826.96 : x
  2. Step 2: Convert to fraction form
    877.72/1,309.17 = 826.96/x
  3. Step 3: Cross multiply
    877.72x = 1,309.17 × 826.96
  4. Step 4: Simplify right side
    877.72x = 1,082,627.09
  5. Step 5: Solve for x
    x = 1,082,627.09/877.72
  6. Step 6: Final answer
    x = 1,233.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.